Frequent monitoring of iron/ferritin levels while on oral iron supplementation is likely not necessary -- barring a genetic disease, you're extremely unlikely to get iron toxicity or overload at instructed oral doses. Periodic monitoring is more to assess a positive response - since if your levels are not going up on supplementation it warrants further investigation.
Oral iron is now recommended given only every other day to avoid GI side effects and there is evidence that the response is just as good to more frequent.